YOSHIDA Kenichi

ヨシダケンイチ | YOSHIDA Kenichi

Affiliation and department：
Job title： Professor

Research field (1)： Algebra

Research keywords (11)： Rees algebra , arithmetical rank , Ulrich module , Stanley-Reisner ring , Buchsbaum ring , Cohen-Macaulay ring , Hilbert-Kunz multiplkicity , F-regular ring , F-rational ring , test ideal , tight closure

Research theme for competitive and other funds (28)：

2019 - 2023 整閉イデアルを用いた正標数の特異点の研究
2018 - 2023 Stanley-Reisner イデアルの算術階数とその記号的べきの射影次元
2016 - 2019 Research on rational singularities and almost Gorenstein blow-up algebras
2014 - 2018 Commutative Ring Theory of Singularities
2014 - 2017 Arithmetical rank of Stanley-Reisner ideals and projective dimension of their powers

2011 - 2017 Non-commutative crepant resolution, Orbifold cohomology and generalization of the McKay correspondence

2013 - 2016 Maximal Cohen-Macaulay modules over singularities of positive characteristic

2011 - 2013 Commutative Ring Theory of Singularities of Algebraic Varieties

2011 - 2013 Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals

2010 - 2012 Research of ring-invariants associated to powers of ideals

2010 - 2012 Invariant theory which uses equivariant sheaves

2008 - 2010 Characteristic p method in singularity theory

2007 - 2009 Research of multiplier ideals and tight closures from viewpoint of commutative algebra and computational algebra

2006 - 2009 Closure operations and actions of algebraic groups

2006 - 2008 Algebro-Geometric Approach to Invariants in Commutative Algebra

2006 - 2007 Study on minimal free resolution of Stanley-Reisner rings

2005 - 2007 Singurality Theory and Frobenius Morphism

2004 - 2006 Research for multiplicities and tight closures on singular points of positive characteristic

2004 - 2005 Study on minimal free resolution of Stanley-Reisner rings

2004 - 2005 Applications of tight closure and F-singularity to algebraic geometry

2003 - 2005 Duality of sheaves with actions

2002 - 2003 On ring-theoretical properties of blow-up rings over singular points in positive characteristic

2001 - 2003 Algebro-Geometric Method in Commutative Algebra

1999 - 2001 On ring-theoretical invariants of singular points in positive characteristic

1998 - 2000 Good filtrations and rings of invariants

1997 - 1998 On the roles of generalized linear CM modules in commutative ring theory

1996 - 1996 古典群・量子群の表現論とYoung図形の組合せ論

1994 - 1994 グラフのスペクトルと不変式論

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Papers (63)：

Tomohiro Okuma, Maria Evelina Rossi, Kei-ichi Watanabe, K.Yoshida. Normal Hilbert coefficients and elliptic ideals in normal 2-dimensional singularities. Nagoya Math.J. 2023. 248. 779-800
Jack Jefferies, Yusuke Nakajima, Ilya Smirnov, Kei-ichi Watanabe, Ken-ichi Yoshida. Lower bound on Hilbert-Kunz multiplicities and maximal F-signatures. Math.Proc.Camb.Phil.Soc. 2023. 174. 247-271
Okuma Tomohiro, Kei-ichi Watanabe and Ken-ichi Yoshida. The normal reduction number of two-dimensional cone-like singularities. Proc. Amer. Math. Soc. 2021. 149. 11. 4569-4581
Tony J. Puthenpurakal, Kei-ichi Watanabe, Ken-ichi Yoshida. Strong Rees property of powers of the maximal ideal and Takahashi-Dao's question. J. Algebra. 2021. 571. 297-315
Giancarlo Rinaldo, Naoki Terai, Ken-ichi Yoshida. Licci level Stanley-Reisner ideals with height three and with type two. Combinatorial Structures in Algebra and Geometry" NSA 26, Constanta, Romania, August 26-September 1, 2018. 2020. 331. 123-142

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Books (1)：

岩波数学辞典第4版(日本数学会編集)
岩波書店 2007

Lectures and oral presentations (88)：

Introduction to ring-theoretic properties of geometric ideals
(Mini workshop on singularities -Various aspects of singularities 2023)
Gorensteinness for normal tangent cones of the maximal ideals of Brieskorn hypersurfaces
(日本数学会総会代数学分科会 2023)
Gorensteinness for normal tangent cones of geometric ideals
(2022)
Gorensteinness for normal tangent cones of elliptic ideals
(日本数学会2022年度秋季総合分科会 2022)
強楕円イデアルの正規ブローアップ代数の Gorenstein 性
(特異点セミナー 2022)

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Education (5)：

1991 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1991 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1989 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1989 - 1991 Nagoya University Graduate School, Division of Natural Science Mathematics
1985 - 1989 Chiba University Faculty of Science Mathematics

Work history (6)：

2012/04 - 現在 Nihon University College of Humanities and Sciences, Department of Mathematics Professor
2007/04 - 2012/03 Graduate School of Mathematics, Nagoya University・Assistant Professor
2004/04 - 2007/03 Graduate School of Mathematics, Nagoya University・Assistant Professor
1995/04 - 2004/03 Graduate School of Mathematics, Nagoya University・Assistant
1993/04 - 2002/03 Toyota National College of Technology・parttime instructor

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